Tank D is a cubical container of edge 32 cm. It is completely filled with water. Tank E is a rectangular tank measuring 54 cm by 27 cm by 30 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 12 minutes. Give your answer in litres.
- All the water in Tank D is then poured into Tank E without spilling. How much more water is needed to fill Tank E completely? Give your answer in litres.
(a)
Volume of water in Tank E filled by the tap
= 12 x 0.2
= 2.4 ℓ
Volume of water poured into the Tank E from Tank D
= 32 x 32 x 32
= 32768 mℓ
1000 mℓ = 1 ℓ
32768 mℓ = 32768 ÷ 1000 = 32.768 ℓ
Volume of Tank E
= 54 x 27 x 30
= 43740 mℓ
43740 mℓ = 43740 ÷ 1000 = 43.74 ℓ
Volume of more water to fill Tank E
= 43.74 - 32.768 - 2.4
= 8.572 ℓ
Answer(s): (a) 2.4 ℓ; (b) 8.572 ℓ